From 2010 to 2014, the IceCube detector observed 32 neutrino events with energies above 60 TeV, and 24 of them are “shower” events. To select probable GRB neutrinos, we use time and direction criteria to find the associated GRB for each neutrino event [1]}, [2]}, [3]}. The time mismatch could be extended by the ultra-high energy and the long propagation distance of neutrinos. So it is reasonable to expand the time range with the increase of energy. For the TeV neutrinos, a time window of three days is adopted [2]}. For the two 1 PeV events, we include the GRBs detected within one month before or after the neutrinos. For the 2 PeV event, the time window is two months [3]}. By adopting these time windows, we find that each IceCube neutrino event may have more than one GRB candidates. To choose the most likely associated GRBs, we use the maximum correlation criterion [1]}, [2]}, [3]} and the strict time criterion that requires [3]}
\(|\frac{\Delta t_{\rm obs}}{1+z}-s\cdot \frac{K}{E_{\rm LV}}|<30\%\cdot \frac{K}{E_{\rm LV}},\) 
